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Finding the Fourth Proportional to 26.51, 40 and 25.61

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Solution

The fourth proportional to 26.51, 40 and 25.61 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.51 : 40 = 25.61 : x
  2. Step 2: Convert to fraction form
    26.51/40 = 25.61/x
  3. Step 3: Cross multiply
    26.51x = 40 × 25.61
  4. Step 4: Simplify right side
    26.51x = 1,024.40
  5. Step 5: Solve for x
    x = 1,024.40/26.51
  6. Step 6: Final answer
    x = 38.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.